100066567680 has 240 divisors, whose sum is σ = 352437330960. Its totient is φ = 26231783424.

The previous prime is 100066567663. The next prime is 100066567693. The reversal of 100066567680 is 86765660001.

100066567680 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 6 + 6 + 567 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1322554 + ... + 1396166.

It is an arithmetic number, because the mean of its divisors is an integer number (1468488879).

Almost surely, 2^100066567680 is an apocalyptic number.

100066567680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100066567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176218665480).

100066567680 is an abundant number, since it is smaller than the sum of its proper divisors (252370763280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100066567680 is an equidigital number, since it uses as much as digits as its factorization.

100066567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73701 (or 73682 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 100066567680 in words is "one hundred billion, sixty-six million, five hundred sixty-seven thousand, six hundred eighty".